Is there any car without radiator?

There have been cars without radiators. The old-style Volkswagen "Beetle", for example, had an air-cooled engine. A lot of VW owners modified the trunk (Beetles had the engines in the back, not the front) in order to force more air into the engine compartment, since they were prone to overheating as they aged.... which is one reason you don't see too many cars without radiators.